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Finding the Fourth Proportional to 514.81, 771 and 271

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Solution

The fourth proportional to 514.81, 771 and 271 is: 405.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.81 : 771 = 271 : x
  2. Step 2: Convert to fraction form
    514.81/771 = 271/x
  3. Step 3: Cross multiply
    514.81x = 771 × 271
  4. Step 4: Simplify right side
    514.81x = 208,941
  5. Step 5: Solve for x
    x = 208,941/514.81
  6. Step 6: Final answer
    x = 405.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.